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Finding the Third Proportional to 733,434 and 1,167,036

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Solution

The third proportional to 733,434 and 1,167,036 is: 1,856,981.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    733,434 : 1,167,036 = 1,167,036 : x
  2. Step 2: Convert to fraction form
    733,434/1,167,036 = 1,167,036/x
  3. Step 3: Cross multiply
    733,434x = 1,167,036 × 1,167,036
  4. Step 4: Simplify right side
    733,434x = 1,361,973,025,296
  5. Step 5: Solve for x
    x = 1,361,973,025,296/733,434
  6. Step 6: Final answer
    x = 1,856,981.03

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.